Journal article
Authors list: Muller, C; Grun, N; Scheid, W
Publication year: 1998
Pages: 245-250
Journal: Physics Letters A
Volume number: 242
Issue number: 4-5
ISSN: 0375-9601
DOI Link: https://doi.org/10.1016/S0375-9601(98)00218-7
Publisher: Elsevier
Abstract:
We apply the method of finite elements to the one-dimensional Dirac equation. The dispersion relation of the finite element formulation shows that the method leads to a problem known as "fermion doubling". Investigating the propagation of a Gaussian wave packet on a finite element mesh we demonstrate that fermion doubling has unphysical consequences such as wave packets moving with velocities greater than the speed of light. (C) 1998 Elsevier Science B.V.
Citation Styles
Harvard Citation style: Muller, C., Grun, N. and Scheid, W. (1998) Finite element formulation of the Dirac equation and the problem of fermion doubling, Physics Letters A, 242(4-5), pp. 245-250. https://doi.org/10.1016/S0375-9601(98)00218-7
APA Citation style: Muller, C., Grun, N., & Scheid, W. (1998). Finite element formulation of the Dirac equation and the problem of fermion doubling. Physics Letters A. 242(4-5), 245-250. https://doi.org/10.1016/S0375-9601(98)00218-7
Keywords
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